That’s worrisome! What country are you in, like what electrical plugs do you use?
Is the shock a “pow” (DC) or a “vibration” (AC)?
Can you beep continuity with the multi meter from the chassis to the safety ground on the plug? If the plug is damaged it can make the ground float on the synth’s chassis.
Do you have a plug tester to test the outlets in your studio? They’re cheap at the hardware store. Floating safety ground can cause shocks with functional equipment.
You can measure electrical potential between pieces of gear on the AC or DC setting (usually AC for wiring problems) by putting one lead on the chassis of one piece of gear, and the other lead on the other piece of gear chassis. Also works for measuring if the safety ground between two outlets is at the same potential, which can cause shocks if they are wired through the building to different grounds- a classic scenario is the guitar amp is plugged into one circuit, and the PA is plugged into another, and it shocks the guitar player when they step up to the microphone, because their mouth is connecting the grounds of different parts of the bui,ding and some current flows back through the guitar strings and cables to the amp’s safety ground.